Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
190 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 80 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13130001 | C2 | direct (N × H) |
| 12. C2×C13×C32 | C4 | semidirect |
| 13. C2×#88034 | C4 | semidirect |
| 14. #11718039 | C4 | semidirect |
| 29. C13×C32 | C2×C4 | semidirect |
| 30. #88034 | C2×C4 | semidirect |
| 73. C2×C32 | #261 | semidirect |
| 101. C32 | C2×#261 | semidirect |
| 102. C2×C13 | #1426 | semidirect |
| 123. C13 | C2×#1426 | semidirect |
| 149. C2 | #13130001 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718224 | 2 |
| C2×#11718222 | 2 |
| #13130001 | 2 |
| C2×#11718039 | 2 |
| C2×#1426 | 13 |